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Volumn 189, Issue 1, 1998, Pages 57-63

Asymptotic fractals in the context of grey-scale images

Author keywords

Asymptotic fractals; Cell deformability; Fractals; Grey scale images; Minkowski dilation

Indexed keywords

ENDOTHELIAL CELLS;

EID: 0031882615     PISSN: 00222720     EISSN: None     Source Type: Journal    
DOI: 10.1046/j.1365-2818.1998.00284.x     Document Type: Article
Times cited : (25)

References (39)
  • 2
    • 0004300243 scopus 로고
    • Estimation of the 'true' fracture roughness parameters by iterative optimization of a reversed sigmoidal fractal model
    • Banerji, K. (1987) Estimation of the 'true' fracture roughness parameters by iterative optimization of a reversed sigmoidal fractal model. Acta Stereol. 6/3, 815-820.
    • (1987) Acta Stereol. , vol.6 , Issue.3 , pp. 815-820
    • Banerji, K.1
  • 3
    • 0014453262 scopus 로고
    • Mesure automatique de la surface alvéolaire du poumon de rat à l'aide d'un microscope téléviseur quantitatif
    • Bignon, J. & André-Bougaran, J. (1969) Mesure automatique de la surface alvéolaire du poumon de rat à l'aide d'un microscope téléviseur quantitatif. C.R. Acad. Sci. Paris D, 269, 409-412.
    • (1969) C.R. Acad. Sci. Paris D , vol.269 , pp. 409-412
    • Bignon, J.1    André-Bougaran, J.2
  • 5
    • 0000735549 scopus 로고    scopus 로고
    • Apparent fractality emerging from models of random distributions
    • Hamburger, D., Biham, O. & Avnir, D. (1996) Apparent fractality emerging from models of random distributions. Phys. Rev. E, 53, 3342-3358.
    • (1996) Phys. Rev. E , vol.53 , pp. 3342-3358
    • Hamburger, D.1    Biham, O.2    Avnir, D.3
  • 6
    • 0027263086 scopus 로고
    • Determination of microstructural parameters of random spatial surface fractals by measuring chord length distributions
    • Hermann, H. & Ohser, J. (1993) Determination of microstructural parameters of random spatial surface fractals by measuring chord length distributions. J. Microsc. 170, 87-93.
    • (1993) J. Microsc. , vol.170 , pp. 87-93
    • Hermann, H.1    Ohser, J.2
  • 7
    • 0003043542 scopus 로고
    • The possible effect of the aggregation of the molecules of hemoglobin on its dissociation curves
    • Hill, A.V. (1910) The possible effect of the aggregation of the molecules of hemoglobin on its dissociation curves. J. Physiol. 40, 4-7.
    • (1910) J. Physiol. , vol.40 , pp. 4-7
    • Hill, A.V.1
  • 8
    • 15144361387 scopus 로고
    • Fractal geological structures
    • Jacquin, C.G. & Adler, P.M. (1987) Fractal geological structures. Acta Stereol. 6/3, 821-826.
    • (1987) Acta Stereol. , vol.6 , Issue.3 , pp. 821-826
    • Jacquin, C.G.1    Adler, P.M.2
  • 9
    • 0002503388 scopus 로고
    • Specification of the ruggedness and/or texture of a line particle profile by its fractal dimension
    • Kaye, B.H. (1978) Specification of the ruggedness and/or texture of a line particle profile by its fractal dimension. Powder Technol. 21, 1-16.
    • (1978) Powder Technol. , vol.21 , pp. 1-16
    • Kaye, B.H.1
  • 11
    • 6144289688 scopus 로고
    • Study chart US reserves yet to be discovered
    • Laherrére, J.L. (1994) Study chart US reserves yet to be discovered. Am. Oil Gas Reporter, 37, 99-104.
    • (1994) Am. Oil Gas Reporter , vol.37 , pp. 99-104
    • Laherrére, J.L.1
  • 12
    • 0001918138 scopus 로고
    • World oil reserves - What number to believe?
    • February 1995
    • Laherrére, J.L. (1995) World oil reserves - what number to believe? OPEC Bull. February 1995.
    • (1995) OPEC Bull.
    • Laherrére, J.L.1
  • 14
    • 0029972397 scopus 로고    scopus 로고
    • Quantification of nuclear pleomorphism using an asymptotic fractal model
    • Landini, G. & Rippin, J.W. (1996) Quantification of nuclear pleomorphism using an asymptotic fractal model. Anal. Quant. Cytol. Histol. 18, 167-176.
    • (1996) Anal. Quant. Cytol. Histol. , vol.18 , pp. 167-176
    • Landini, G.1    Rippin, J.W.2
  • 15
    • 33751330608 scopus 로고
    • The determination of enzyme dissociation constants
    • Lineweaver, H. & Burk, D. (1934) The determination of enzyme dissociation constants. J. Am. Chem. Soc. 56, 658-666.
    • (1934) J. Am. Chem. Soc. , vol.56 , pp. 658-666
    • Lineweaver, H.1    Burk, D.2
  • 16
    • 0029917020 scopus 로고    scopus 로고
    • Self-similarity and fractal irregularity in pathologic tissues
    • Losa, G.A. & Nonnenmacher, T.F. (1996) Self-similarity and fractal irregularity in pathologic tissues. Modern Pathol. 9, 174-182.
    • (1996) Modern Pathol. , vol.9 , pp. 174-182
    • Losa, G.A.1    Nonnenmacher, T.F.2
  • 18
    • 0025614736 scopus 로고
    • Fractal texture features based on optical density surface area. Use in image analysis of cervical cells
    • MacAulay, C. & Palcic, B. (1990) Fractal texture features based on optical density surface area. Use in image analysis of cervical cells. Anal. Quant. Cytol. Histol. 12, 394-398.
    • (1990) Anal. Quant. Cytol. Histol. , vol.12 , pp. 394-398
    • MacAulay, C.1    Palcic, B.2
  • 19
    • 5444244687 scopus 로고
    • How long is the coast of Britain? Statistical self-similarity and fractional dimension
    • Mandelbrot, B.B. (1967) How long is the coast of Britain? Statistical self-similarity and fractional dimension. Science, 156, 636-638.
    • (1967) Science , vol.156 , pp. 636-638
    • Mandelbrot, B.B.1
  • 21
    • 0007649243 scopus 로고
    • Über die Begriffe Länge, Oberfläche und Volumen
    • Minkowski, H. (1901) Über die Begriffe Länge, Oberfläche und Volumen. Jahb. Dtsch. Math. 9, 115-121.
    • (1901) Jahb. Dtsch. Math. , vol.9 , pp. 115-121
    • Minkowski, H.1
  • 22
    • 78651189765 scopus 로고
    • On the nature of allosteric transitions. A plausible model
    • Monod, J., Wyman, J. & Changeux, J.P. (1965) On the nature of allosteric transitions. A plausible model. J. Mol. Biol. 12, 88-118.
    • (1965) J. Mol. Biol. , vol.12 , pp. 88-118
    • Monod, J.1    Wyman, J.2    Changeux, J.P.3
  • 24
    • 1542431143 scopus 로고
    • Spatial and temporal patterns in cell and molecular biology
    • (ed. by T. F. Nonnenmacher, G. A. Losa and E. R. Weibel), Birkhäuser Verlag, Basel
    • Nonnenmacher, T.F. (1994) Spatial and temporal patterns in cell and molecular biology. Fractals in Biology and Medicine (ed. by T. F. Nonnenmacher, G. A. Losa and E. R. Weibel), pp. 22-37. Birkhäuser Verlag, Basel.
    • (1994) Fractals in Biology and Medicine , pp. 22-37
    • Nonnenmacher, T.F.1
  • 25
    • 0021026832 scopus 로고
    • The use of the fractal dimension to quantify the morphology of irregular shaped particles
    • Orford, J.D. & Whalley, W.B. (1983) The use of the fractal dimension to quantify the morphology of irregular shaped particles. Sedimentology, 30, 655-668.
    • (1983) Sedimentology , vol.30 , pp. 655-668
    • Orford, J.D.1    Whalley, W.B.2
  • 26
    • 84985288144 scopus 로고
    • Theory of self-similar network structures in sedimentary and igneous rocks and their investigation with microscopical and physical methods
    • Pape, H., Riepe, L. & Schopper, J.R. (1987) Theory of self-similar network structures in sedimentary and igneous rocks and their investigation with microscopical and physical methods. J. Microsc. 148, 121-147.
    • (1987) J. Microsc. , vol.148 , pp. 121-147
    • Pape, H.1    Riepe, L.2    Schopper, J.R.3
  • 27
    • 0019479675 scopus 로고
    • Resolution effect on the stereological estimation of surface and volume and its interpretation in terms of fractal dimensions
    • Paumgartner, D., Losa, G. & Weibel, E.R. (1981) Resolution effect on the stereological estimation of surface and volume and its interpretation in terms of fractal dimensions. J. Microsc. 121, 51-63.
    • (1981) J. Microsc. , vol.121 , pp. 51-63
    • Paumgartner, D.1    Losa, G.2    Weibel, E.R.3
  • 28
    • 0021523150 scopus 로고
    • Fractal-based description of natural scenes
    • Pentland, A.P. (1984) Fractal-based description of natural scenes. IEEE Trans. PAMI, 6, 661-674.
    • (1984) IEEE Trans. PAMI , vol.6 , pp. 661-674
    • Pentland, A.P.1
  • 29
    • 0001650381 scopus 로고
    • The problem of contiguity: An appendix to statistics of deadly quarrels
    • Richardson, L.F. (1961) The problem of contiguity: an appendix to statistics of deadly quarrels. Gen. Syst. Yearhk. 6, 139-187.
    • (1961) Gen. Syst. Yearhk. , vol.6 , pp. 139-187
    • Richardson, L.F.1
  • 30
    • 0021368150 scopus 로고
    • An empirical formulation relating boundary lengths to resolution in specimens showing 'non-ideally fractal' dimensions
    • Rigaut, J.P. (1984) An empirical formulation relating boundary lengths to resolution in specimens showing 'non-ideally fractal' dimensions. J. Microsc. 133, 41-54.
    • (1984) J. Microsc. , vol.133 , pp. 41-54
    • Rigaut, J.P.1
  • 31
    • 6544230150 scopus 로고
    • Natural objects show fractal grey tone functions - A novel approach to automated image segmentation, using mathematical morphology
    • Rigaut, J.P. (1987a) Natural objects show fractal grey tone functions - a novel approach to automated image segmentation, using mathematical morphology. Acta Stereol. 6/3, 799-802.
    • (1987) Acta Stereol. , vol.6 , Issue.3 , pp. 799-802
    • Rigaut, J.P.1
  • 32
    • 0344298266 scopus 로고
    • Fractals, semi-fractals et biométrie
    • (ed. by G. Cherbit), Masson, Paris
    • Rigaut, J.P. (1987b) Fractals, semi-fractals et biométrie. Fractals -Dimensions Non Entières et Applications (ed. by G. Cherbit), pp. 231-281. Masson, Paris.
    • (1987) Fractals -Dimensions Non Entières et Applications , pp. 231-281
    • Rigaut, J.P.1
  • 33
    • 0023934215 scopus 로고
    • Automated image segmentation by mathematical morphology and fractal geometry
    • Rigaut, J.P. (1988) Automated image segmentation by mathematical morphology and fractal geometry. J. Microsc. 150, 21-30.
    • (1988) J. Microsc. , vol.150 , pp. 21-30
    • Rigaut, J.P.1
  • 34
    • 84990581625 scopus 로고
    • Fractals in biological image analysis and vision
    • (ed. by G. Losa, D. Merlini and R. Moresi), Cerfim. Locarno
    • Rigaut, J.P. (1989) Fractals in biological image analysis and vision. Gli oggetti frattali in astrofisica, biologia, fisica e matematica (ed. by G. Losa, D. Merlini and R. Moresi), pp. 111-145. Cerfim. Locarno.
    • (1989) Gli Oggetti Frattali in Astrofisica, Biologia, Fisica e Matematica , pp. 111-145
    • Rigaut, J.P.1
  • 35
    • 15144344846 scopus 로고
    • Stereology, fractals and semi-fractals - The lung alveolar structure studied through a new model
    • Rigaut, J.P., Berggren, P. & Robertson, B. (1987) Stereology, fractals and semi-fractals - the lung alveolar structure studied through a new model. Acta Stereol. 6/1, 63-67.
    • (1987) Acta Stereol. , vol.6 , Issue.1 , pp. 63-67
    • Rigaut, J.P.1    Berggren, P.2    Robertson, B.3
  • 38
    • 0020679431 scopus 로고
    • Fractal analysis and stereological evaluation of microstructures
    • Wright, K. & Karlsson, B. (1983) Fractal analysis and stereological evaluation of microstructures. J. Microsc. 129, 185-200.
    • (1983) J. Microsc. , vol.129 , pp. 185-200
    • Wright, K.1    Karlsson, B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.